Question 86639
Problems #1
Using venn diagram 
Let P(Z) = 0.42
P(Y) = 0.35
P (Z U Y) = 0.61 
fIND EACH PROBABILITY: 
a) P(Z' (UPSIDE DOWN U) Y')
b) P(Z' U Y')
c) P(Z' U Y)
d) P(Z (UPSIDE DOWN U) Y')
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Draw two intersecting circles within a rectangle.
Label one circle Z with probability  label 0.42
Label the other circle Y with probability label 0.35
Label Y intersect Z with probability 0.07
Label Y intersect Z' with probability 0.35-0.07 = 0.28
Label Z intersect Y' with probability 0.42-0.07 = 0.35
Label (Z union Y)'= 0.30
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a) P(Z' intersect Y') = (Z U Y)' = 0.30
b) P(Z' U Y') = (Z intersect Y)' = 0.93
c) P(Z' U Y) = (Z intersect Y') = 0.35
d) P(Z (UPSIDE DOWN U) Y')= 0.35

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Cheers,
Stan H.